The Väisälä inequality for mappings with finite length distortion

Evgeny Sevost’yanov

Type: Article

Publication Date: 2009-10-28

Citations: 13

DOI: https://doi.org/10.1080/17476930902998993

Abstract

The well-known Väisälä inequality for quasiregular mappings is extended to open discrete mappings with finite length distortion.

Locations

Zhytomyr State University Library (Zhytomyr Ivan Franko State University) - View - PDF
Complex Variables and Elliptic Equations - View

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Works That Cite This (14)

Action	Title	Year	Authors
+	Some properties of open, discrete, generalized ring mappings	2015	Mihai Cristea
+ PDF Chat	On the lower order of mappings with finite length distortion	2016	Evgeny Sevost’yanov
+ PDF Chat	On isolated singularities of mappings with finite length distortion	2023	Vladimir Gutlyanskiǐ Vladimir Ryazanov Ruslan Salimov Evgeny Sevost’yanov
+	Moduli inequalities for <i>W</i><sup>1</sup><sub><i>n</i>-1,loc</sub>-mappings with weighted bounded (<i>q</i>, <i>p</i>)-distortion	2020	S. K. Vodopyanov
+	On unique determination of conformal type for domains in Euclidean spaces	2017	A. P. Kopylov
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+	On isolated singularities of mappings with finite length distortion	2023	Vladimir Gutlyanskiĭ Vladimir Ryazanov Ruslan Salimov Evgeny Sevost’yanov
+	Condenser Capacity Under Multivalent Holomorphic Functions	2013	Michael Papadimitrakis Stamatis Pouliasis
+	On the local behavior of mappings with unbounded quasiconformality coefficient	2012	Evgeny Sevost’yanov

Works Cited by This (21)

Action	Title	Year	Authors
+	Moduli in Modern Mapping Theory	2008	Олли Мартио Vladimir Ryazanov Uri Srebro Eduard Yakubov
+	Geometric Measure Theory	1988	Herbert Fédérer
+	Geometric Function Theory and Non-linear Analysis	2001	Tadeusz Iwaniec Gaven Martin
+ PDF Chat	On solutions of the Beltrami equation	1998	Melkana Brakalova James A. Jenkins
+	Mappings of finite distortion: Capacity and modulus inequalities	2006	Pekka Koskela Jani Onninen
+ PDF Chat	Mappings with integrable dilatation in higher dimensions	1995	Juan J. Manfredi Enrique Villamor
+	Elliptic equations and maps of bounded length distortion	1988	Олли Мартио Jussi V�is�l�
+ PDF Chat	A Note on Extremal Mappings of Finite Distortion	2005	Stanislav Hencl Pekka Koskela Jani Onninen
+ PDF Chat	On mappings with integrable dilatation	1993	Tadeusz Iwaniec Vladimír Šverák
+	Mappings with Finite Length Distortion (FLD)	2008	Олли Мартио Vladimir Ryazanov Uri Srebro Eduard Yakubov